48886437600 has 3456 divisors, whose sum is σ = 269307763200. Its totient is φ = 8360755200.

The previous prime is 48886437577. The next prime is 48886437631. The reversal of 48886437600 is 673468884.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2572970391 + ... + 2572970409.

It is an arithmetic number, because the mean of its divisors is an integer number (77924700).

48886437600 is a highly composite number, because it has more divisors than any smaller number.

48886437600 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^48886437600 is an apocalyptic number.

48886437600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48886437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134653881600).

48886437600 is an abundant number, since it is smaller than the sum of its proper divisors (220421325600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48886437600 is a wasteful number, since it uses less digits than its factorization.

48886437600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 48886437600 in words is "forty-eight billion, eight hundred eighty-six million, four hundred thirty-seven thousand, six hundred".